The tension in a ligament in the human knee is approximately proportional to the extension of the ligament, if the extension is not too large. If a particular ligament has an effective spring constant of 152 N/mm as it is stretched, what is the tension in this ligament when it is stretched by 0.800

Q: The position versus time graph of a horizontal spring-mass system on a horizontal frictionless…

A: Let the mass = m Let the spring constant = k Let the angular frequency = ω

Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Given: The mass of the object is 2.4 kg. The spring constant is 2.58 cm.

Q: When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: (a) The required force constant of the spring is, Fsping=Fg     kx=mg      k=mgx Thus, the spring…

Q: You work for a toy company, and you’re designing a spring-launched model rocket. The launching…

A: Given information: Here, m is the rocket’s mass, x is the compression in the spring and h is the…

Q: B. Mass vs Velocity Spring constant, k Spring compression, x 1000 N/m 1 C. Spring constant vs…

A: Given that, B. spring constant, k = 1000 N/m spring compression, x=1 m   C. mass, m=75 kg spring…

Q: A 2.50 kg textbook is forced against a horizontal spring of negligible mass and having a spring…

A:

Q: A 2-kg block on a rough horizontal surface is attached to spring (k = 800 N/m); the other end of the…

A:

Q: A spring has a spring stiffness constant k of 80.0 N/m .     Part A How much must this spring be…

A: Given:           The spring stiffness constant k = 80.0 N/m           Stored potential energy…

Q: The graphs shown show the magnitude F of the force exerted by a spring as a function of the distance…

A: given   The graphs shown show the magnitude F of the force exerted by a spring as a function of the…

Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: According to hook's law -  Force is directly proportional to the the displacement -  F=kx Where,  k…

Q: One end of a light spring with spring constant k, is attached to the ceiling. A second light spring…

A: SolutionSpnng cosntant k1, k2mass of object  = m(a) Total strctch due to mass m        equvlater…

Q: A 67 kg trampoline artist jumps vertically upward from the top platform with a speed of 3.5 m/s.…

A: The height of the platform from the ground is h = 2.0 m. Assume that the artist jumps upwards. The…

Q: A 0.250 kg air-track glider is attached to each end of the track by two coil springs. It takes a…

A:

Q: The horizontal surface on which a block slides is frictionless. The speed of the block is 6.0 m / s…

A: Here, ∆K=-UsKf-Ki=Ui-Uf      (Ui=0)Kf=Ki-Uf=12mvi2-12kxf2

Q: A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal ideal spring with spring…

A:

Q: When a 2.20-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A:

Q: A horizontal spring with spring constant 230 N/mN/m is compressed by 10 cmcm and then used to launch…

A: Energy stored in the spring is given by  U = 12k y2 The kinetic energy is given by  K=12mv2 where, K…

Q: A 1000-kg car moving at 30 m/s hits an initially uncompressed horizontal ideal spring and compresses…

A:

Q: QUESTION 6 The magnitude of the restoring force (F) and the extension (X) of a certain spring are…

A:

Q: A light spring with spring constant 1100 N/m hangs from an elevated support. From its lower end…

A:

Q: The work F dx done by the force exerted by the spring on a mass attached to the end of the spring…

A: The correct option is (e).    i.e  negative half of the time, positive the other half of time.

Q: A 2kg object is attached to a spring of an unknown spring constant k. If the magnitude of the…

A:

Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

A:

Q: A spring with a spring constant of 2130 N/m is compressed 0.166 m from its equilibrium position with…

A: The conservation of energy is , 12kx2=12mv2+mgh

Q: 2. a. For springs obeying Hooke's Law, the work required to compress the material by dx distance is…

A: Justification for the statement in (a): The required amount of work done to compress the spring by a…

Q: A force of 3 N is applied to a spring. The spring is not stretched beyond the limit of…

A: Given Force F = 3 N Increase in length x = 15 cm =0.15 m

Q: A 10-kg block is attached to one end of a horizontal spring on a level, frictionless surface. The…

A:

Q: When a 2.10-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: (a)The force on the spring is,F=mg                                               m=2.10kg,g=9.8…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.95 x 102 N/m that lies…

A:

Q: One end of a light spring with spring constant k, = 1,200 N/m is attached to the ceiling. A second…

A: Given spring constant k1=1200N/m k2= 1600N/m and mass m= 1.5kg We have to find spring stretch,…

Q: When a 2.20-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: a) The required force constant of the spring is,

Q: In a "worst-case" design scenario, a 2000 kg elevator with broken cables is falling at 4.00 m/s when…

A:

Q: A block of mass of 1.0 kg is moving across a frictionless floor and comes in contact with an ideal…

A: Given data :                Mass of the block , m = 1 kg                Velocity of the block,  v =…

Q: (15pts) A block with mass 0.50kg is forced between a horizontal spring of negligible mass,…

A: Given: Block of mass m = 0.50 kg Distance d= 0.20 m  Spring constant k = 100 N/m We have to…

Q: (ou have a light spring which obeys Hooke's law. This spring stretches 3.28 cm vertically when a…

A:

Q: A spring with a spring constant of k = 192 N/m is initially compressed by a block a distance d =…

A:

Q: A 3.0 kg brick rests on a perfectly smooth ramp inclined at 34° above the horizontal. The brick is…

A: Required  net elongation in spring

Q: The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m…

A: Given data: Spring constant (k) = 20.0 N/m Compression in spring (x) = 8.00 × 10-2 m Mass of dart…

Q: A block of mass M is attached to lower end of a vertical spring. The spring is hung from the ceiling…

A:

Q: What is the minimum amount that the spring must be compressed if the car is to stay on the track?…

A:

Q: A spring has a spring stiffness constant kkk of 95.0 N/m How much must this spring be compressed to…

A: The elastic potential energy of the spring is Potential energy stored in it as a result of the…

Q: A 1500-kg car moving at 20 m/s hits an initially uncompressed horizontal ideal spring. What is the…

A: The mass of the car is m = 1500 kg. The speed of the car is v = 20 m/s. The compression in the…

Q: Suppose you have a spring (of constant k = 250) and you compress it 10 cm. next to the spring you…

A: spring constant, k = 250 N/m compression, x = 10  cm  mass, m = 250g

Q: A 54 g ice cube can slide without friction up and down a 30∘ slope. The ice cube is pressed against…

A:

Q: When a 2.20-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Given: When 2.20 kg hung spring stretches(x) = 2.44cm

Q: A 4.00 kg block is attached to a spring of force constant 500 N/m. The block is pulled 10.0 cm to…

A: Given Mass of block m= 4kg Spring constant K=500N/m x=0.1 m Coefficient of friction μ=0.25

Q: When a 2.30-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Mass , m = 2.3 kg Stretch , x = 2.26 cm = 0.0226 m To find - a) Force constant of the spring…

Q: 900 kg safe is 1.5 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits…

A: Given: The mass of the safe is 900 kg. The height of the safe from the spring is 1.5 m. The maximum…

Q: A student pushes the 1.00 kg block in the figure below against a horizontal spring, compressing it…

A: Given Data : The spring is compressed by the student by a distance given as xc = 0.180 m.  The mass…

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.